Homologous Series Of Alkanes Research Articles

Second and Fourth Moments of Chain Molecules

Exact methods are developed for calculating second and fourth moments 〈M2〉 and 〈M4〉 of chain molecules, where M= ∑ i=1nmiand mi is a vector associated with Bond i but not necessarily colinear with it. The rotational isomeric-state approximation is adopted to represent the effects of hindrance potentials affecting bond rotations. No other approximations are invoked in deriving the statistical-mechanical averages denoted by 〈 〉. Account is taken of neighbor correlations, and the treatment is applicable alike to finite and infinite chains. Illustrative calculations of 〈r2〉/nl2 and of 〈r4〉/n2l4, where r is the end-to-end length of the chain, l the bond length, and n the number of bonds, are presented for normal alkane homologs H–(CH2)n–H, throughout the range of n from 1 < n < ∞. The methods are applicable also to chains having any variety of bonds in linear succession.

Homologous Series of Alkanes

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTHomologous Series of AlkanesGeorge Calingaert, Harold A. Beatty, Robert C. Kuder, and G. W. ThomsonCite this: Ind. Eng. Chem. 1941, 33, 1, 103–106Publication Date (Print):January 1, 1941Publication History Published online1 May 2002Published inissue 1 January 1941https://doi.org/10.1021/ie50373a022RIGHTS & PERMISSIONSArticle Views83Altmetric-Citations17LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InReddit PDF (534 KB) Get e-Alerts